| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899698 | Journal of Mathematical Analysis and Applications | 2018 | 6 Pages |
Abstract
We recover the shape of the domain and the diffusion coefficient of a parabolic equation from observations of an infinite sequence of solutions taken at an arbitrary single point inside or on the boundary of the unknown domain. The method is to reconstruct the principal eigenfunction of the associated elliptic operator from the observed data.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Amin Boumenir, Vu Kim Tuan,